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Finding the Third Proportional to 78,922.48 and 120,353.98

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Solution

The third proportional to 78,922.48 and 120,353.98 is: 183,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922.48 : 120,353.98 = 120,353.98 : x
  2. Step 2: Convert to fraction form
    78,922.48/120,353.98 = 120,353.98/x
  3. Step 3: Cross multiply
    78,922.48x = 120,353.98 × 120,353.98
  4. Step 4: Simplify right side
    78,922.48x = 14,485,079,674.41
  5. Step 5: Solve for x
    x = 14,485,079,674.41/78,922.48
  6. Step 6: Final answer
    x = 183,535.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.